Courses

Get the App

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Quantitative Aptitude for Banking Preparation

UPSC : Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

The document Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev is a part of the UPSC Course Quantitative Aptitude for Banking Preparation.

All you need of UPSC at this link: UPSC

Areas

Areas of some well-known figures are given below:

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Example.1 A horizontal pipe for carrying floodwater has a diameter of 1 m. When water in it is 10 cm deep then the width of water surface AB is equal to ________ cm.

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev
(1) 10 cm
(2) 25 cm
(3) 60 cm
(4) 70 cm
(5) None

Correct Answer is Option (3).
Let O be the centre of circle.
In ΔOAD
⇒ 502 = 402 + x²
⇒ 2500 – 1600 = x²
⇒ x² = 900
⇒ x = 30
∴ AB = 2x = 60 cm.

Try yourself:The area of quadrilateral PQRS is 228cm². Find the length of QA.
Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

A.
16 cm
B.
9 cm
C.
8 cm
D.
18 cm

View Solution

Example.2 Area of the shaded region is:
Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Correct Answer is Option (1).

Volume

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev

Length of a Diagonal

The length of diagonal of a cuboid =
The length of a diagonal of a cube =

Example.3 An insect is crawling to climb a 20 metre long pipe of diameter 3.5 metres. If the insect take 4 circular rounds to reach the top of the building, then what will be total distance (in nearer metres) traveled by insect to reach the top?
(1) 47 m
(2) 48 m
(3) 49 m
(4) 50 m

Since the insect is moving in circular way, so it will cover the distance which will be 4 times the distance of the longest side AB of a right angled triangle. In the figure AO is equal to the circumference of the pipe.
AO = πd = = 11m
BO = 5 m
AB = = = 12.08 m
Total distance traveled = 12.08 × 4 = 48.32 m
Hence distance in nearer meters = 48 m

Try yourself:What is the volume of a cone having radius of 21cm and height of 5cm?

A.
2310 cm³
B.
6930 cm³
C.
1234 cm³
D.
5000 cm³

View Solution

Example.4 The surface area of a cube is 726 sq metres. Find the volume of the cube
(1) 1234 m²
(2) 1431 m²
(3) 1341 m³
(4) 1331 m³
(5) None of these

Correct Answer is Option(4).
Surface area S = 726 m² Volume V = ?
In a cube,
S = 6a² = 726 ⇒ a² = 121 ⇒ a = 11 m
So, V = a³ = 11³ = 1331 m³.

Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Download EduRev app here for UPSC preparation.

Up next

Author

Wizius Careers

Views

5.1K

Rating

4.9

Description

Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev notes for UPSC is made by best teachers who have written some of the best books of UPSC. It has gotten 5126 views and also has 4.9 rating. You can download Free Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev pdf from EduRev by using search above. You can also find Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev ppt and other UPSC slides as well. If you want Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev Tests & Videos, you can search for the same too. UPSC Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev Summary and Exercise are very important for perfect preparation. You can see some Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev sample questions with examples at the bottom of this page. Complete Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev chapter (including extra questions, long questions, short questions, mcq) can be found on EduRev, you can check out UPSC lecture & lessons summary in the same course for UPSC Syllabus. EduRev is like a wikipedia just for education and the Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev images and diagram are even better than Byjus! Do check out the sample questions of Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev for UPSC, the answers and examples explain the meaning of chapter in the best manner. This is your solution of Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev search giving you solved answers for the same. To Study Mensuration - Examples (with Solutions), Geometry, Quantitative Reasoning Quant Notes | EduRev for UPSC this is your one stop solution.

Quantitative Aptitude for Banking Preparation

66 videos|50 docs|90 tests

Up next

Important questions

Sample Paper

ppt

mock tests for examination

Summary

Quantitative Reasoning Quant Notes | EduRev